Answer:
Coffee = $2.00
Juice = $1.50
Doughnut = $1.00
Step-by-step explanation:
Given
Let:
So, we have:
Anna
Barry
Cathy
Required
The price of each
We have:
Make c the subject in:
Substitute in and
![2[5.00 - 3d] + j + 2d = 7.50](https://tex.z-dn.net/?f=2%5B5.00%20-%203d%5D%20%2B%20j%20%2B%202d%20%3D%207.50)
Make j the subject
![3[5.00 - 3d] + j + 4d = 11.50](https://tex.z-dn.net/?f=3%5B5.00%20-%203d%5D%20%2B%20j%20%2B%204d%20%3D%2011.50)
Make j the subject
So, we have:
and
Equate both values of j
Collect like terms
Substitute in
To solve for c, we substitute in
Solve for c
Answer:
y=3x-4
Step-by-step explanation:
Slope intercept form is :
y=mx+b
where m is the slope, and b is the y intercept.
We are given the slope, it is 3. we are also given the y intercept, it is (0,-4). For this form, the 0 in (0,-4) is ignored, and we consider the y intercept to be -4.
So, m is 3, and b is -4. Substitute the values into the equation
y=3x+ -4
y=3x-4
So, the equation in slope intercept form is
y=3x-4
Answer:
Step-by-step explanation:
3.714285714285714
Answer:
We have been given that a car can travel 476 miles on 14 gallons of gas and we are asked to write an equation relating the distance d to the number of gallons g.
We can set an equation as distance traveled is directly proportional to number of gallons used in travelling that distance.
Now we will find out K(number of miles traveled in one gallon of gas) by substituting our given values in this equation.
Therefore, we can see that car travels 34 miles in one gallon of gas.
Now we can use this information to find out how many gallons of gas does this car need to travel 578 miles.
Let us divide number of miles to be traveled by number of miles traveled in one gallon of gas to find out number of gallons of gas needed.
Therefore, car need 17 gallons of gas to travel 578 miles.
Step-by-step explanation:
